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Finding the Fourth Proportional to 6,876.96, 10,315.36 and 1,682.88

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Solution

The fourth proportional to 6,876.96, 10,315.36 and 1,682.88 is: 2,524.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.96 : 10,315.36 = 1,682.88 : x
  2. Step 2: Convert to fraction form
    6,876.96/10,315.36 = 1,682.88/x
  3. Step 3: Cross multiply
    6,876.96x = 10,315.36 × 1,682.88
  4. Step 4: Simplify right side
    6,876.96x = 17,359,513.04
  5. Step 5: Solve for x
    x = 17,359,513.04/6,876.96
  6. Step 6: Final answer
    x = 2,524.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.